Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow shafts, and the black dots are the arrow tips.) A 1.' = C 2.' = DC 3.' = BC 4.7' = 6 6 с A k 1 111 B Note: To solve this problem, you only need to compute eigenvalues. In fact, it is enough to just compute whether the eigenvalues are real or complex and positive or negative.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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Question
Match each linear system with one of the phase plane
direction fields.
(The blue lines are the arrow shafts, and the black dots are
the arrow tips.)
A 1. =
C 2.'=
1-[-
=
- [6
9
DC 3.' =
BC 4.' =
8
2
1
-5
-1
5
-1
-
x
-5
-9
x
=
C
A
x1
B
D
Note: To solve this problem, you only need to compute eigenvalues. In fact, it is enough to just compute whether the eigenvalues are real or
complex and positive or negative.
Transcribed Image Text:Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow shafts, and the black dots are the arrow tips.) A 1. = C 2.'= 1-[- = - [6 9 DC 3.' = BC 4.' = 8 2 1 -5 -1 5 -1 - x -5 -9 x = C A x1 B D Note: To solve this problem, you only need to compute eigenvalues. In fact, it is enough to just compute whether the eigenvalues are real or complex and positive or negative.
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